Inequalities for the Radial p-th Mean Bodies  

作　　者：ZHOU Yanping WANG Weidong 

机构地区：[1]Department of Mathematics,China Three Gorges University,Yichang 443002,Hubei,China

出　　处：《Wuhan University Journal of Natural Sciences》2012年第4期281-284,共4页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (10671117);the Science Foundation of China Three Gorges University

摘　　要：In this paper, we establish an inequality for the volumes of K and its radial p-th mean body R_pK by L_p-dual mixed volume. Further, the Shephard-type problem and a monotonitic inequality of R_pK are shown when p〉0 .In this paper, we establish an inequality for the volumes of K and its radial p-th mean body R_pK by L_p-dual mixed volume. Further, the Shephard-type problem and a monotonitic inequality of R_pK are shown when p〉0 .

关 键 词：radial p-th mean body Shephard-type problem monotony 

分 类 号：O184[理学—数学]